Properties

Label 33462.a
Number of curves $1$
Conductor $33462$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 33462.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33462.a1 33462bl1 \([1, -1, 0, -4083156, 3176740048]\) \(-361585288790756017/123904\) \(-2579801342976\) \([]\) \(645120\) \(2.1760\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33462.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33462.a do not have complex multiplication.

Modular form 33462.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - 2 q^{7} - q^{8} + 3 q^{10} + q^{11} + 2 q^{14} + q^{16} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display